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Finding the Fourth Proportional to 392,534.80, 588,197.40 and 292,224.40

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Solution

The fourth proportional to 392,534.80, 588,197.40 and 292,224.40 is: 437,886.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,534.80 : 588,197.40 = 292,224.40 : x
  2. Step 2: Convert to fraction form
    392,534.80/588,197.40 = 292,224.40/x
  3. Step 3: Cross multiply
    392,534.80x = 588,197.40 × 292,224.40
  4. Step 4: Simplify right side
    392,534.80x = 171,885,632,296.56
  5. Step 5: Solve for x
    x = 171,885,632,296.56/392,534.80
  6. Step 6: Final answer
    x = 437,886.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.